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Finding the Fourth Proportional to 5,689.58, 7,852.20 and 3,172.10

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Solution

The fourth proportional to 5,689.58, 7,852.20 and 3,172.10 is: 4,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.58 : 7,852.20 = 3,172.10 : x
  2. Step 2: Convert to fraction form
    5,689.58/7,852.20 = 3,172.10/x
  3. Step 3: Cross multiply
    5,689.58x = 7,852.20 × 3,172.10
  4. Step 4: Simplify right side
    5,689.58x = 24,907,912.46
  5. Step 5: Solve for x
    x = 24,907,912.46/5,689.58
  6. Step 6: Final answer
    x = 4,377.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.